Math Project 2

Part 1: FTCC Student Weight 30 25 20 15 10 7 124.5 149.5 174.5 199.5 224.5 249.5 (Made my own graph to compare) Skewness: 0.12342 (Skewed towards the right) Mean: 164 Frequencies Class Weight Upper Class Boundaries Class Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency 100-124 99.5-124.5 112 7 0.130 7 125-149 124.5-149.5 137 14 0.259 21 150-174 149.5-174.5 162 10 0.148 31 175-199 174.5-199.5 187 10 0.222 41 200-224 199.5-224.5 212 8 0.130 49 225-249 224.5-249.5 237 5 0.111 54 Total: 54 Ogive Graph Maker. (2019, October 11). Retrieved June 15, 2020, from https://mathcracker.com/ogive-graph-maker#results

Standard Deviation: 38.50 First Quartile: 128 Median: 162.5 Third Quartile: 195 IQR: 67 Outliers: NONE, there is no number that lies at an abnormal distance from the other values. (Done in excel to compare to software) Statistics Calculator. (n.d.). Retrieved June 15, 2020, from http://www.alcula.com/calculators/statistics/box- plot/ The best measure of the average of the collected data set is the mean at 164 because it describes the central position of this data set the best

Standard Deviation: 6.300072 First Quartile: 0 Median: 3 Third Quartile: 6 IQR: 6 Outliers: 17, the number 17 is furthest from the other numbers in this data set as evidence by the box and whisker plot. The mean, third quartile, and IGR are all close to the middle of this data set and therefore best describes the average of this data set.

Part 3: FTCC Student Weight X 0 1 2 3 4 5 6 7 8 9 10 Frequenc y 17 17 5 6 3 3 2 0 0 0 1 P(X) 0.315 4 0.315 4 0.09 2 0.11 1 0.55 6 0.556 0.37 0 0.0 0 0.0 0 0.0 0 0.01 9 *Rounded 1 past original data  =1.00 The probability is 1 and is between 0-1 and therefore is a probability distribution. Mean: 0.1 Standard Deviation: 0.1 First Quartile: 0.0 Median: 0.1 Third Quartile: 0.2 IQR: 0.1 Outliers: 0.3 *Rounded to the nearest tenth   Using the probability distribution in part A, find the probability of randomly choosing a household that does not have a pet. .3154 2.      Using the probability distribution in part A, find the probability of randomly choosing a household that has more than 2 pets. 1.612 Part 4: FTCC Voting

A. Construct and graph the binomial distribution for the number of voters when 10 students are selected. B. If 10 Statistics students are selected at random, what is the probability that all of them are registered voters? 1 C. If 10 Statistics students are selected at random, what is the probability that less than 5 of them are registered voters? 0.623 D. If 10 Statistics students are selected at random, what is the probability that at least 8 of them are registered voters? 0.044